965880720 has 320 divisors, whose sum is σ = 3839754240. Its totient is φ = 218598912.

The previous prime is 965880709. The next prime is 965880731. The reversal of 965880720 is 27088569.

It is an interprime number because it is at equal distance from previous prime (965880709) and next prime (965880731).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1919989 + ... + 1920491.

It is an arithmetic number, because the mean of its divisors is an integer number (11999232).

Almost surely, 2^965880720 is an apocalyptic number.

965880720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965880720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919877120).

965880720 is an abundant number, since it is smaller than the sum of its proper divisors (2873873520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

965880720 is a wasteful number, since it uses less digits than its factorization.

965880720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 965880720 is about 31078.6215910552. The cubic root of 965880720 is about 988.4950504149.

The spelling of 965880720 in words is "nine hundred sixty-five million, eight hundred eighty thousand, seven hundred twenty".